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Assume also that I have access to an immense amount of parallel computing processing power (I do).
Unless you are an important person in the Chinese computational science world (using Tianhe-2), or you have access to secret government computers us mere mortals don't know exist (so they don't appear in rankings of the best supercomputers in the world), I ...

As a chemist turned engineer, I think I am well placed to answer this question.
Does there exist a graphics engine that is as true to our reality as possible given our current understanding of physics?
Given appropriate constraints and simplifications, it is possible to build a useful model from simple elements. Whether you consider this "true to ...

Most of the time, scientific computer code is written in such a way that variables have no "knowledge" of the units they are intended to represent. (Of course, you could be arbitrarily sophisticated in the way you write your program, e.g. by defining classes that keep track of dimensionality and used units, and then use these classes to define your ...

The simplest solution is to find the center of mass of the two objects - at any moment in time, if the stars are a distance $d$ apart, and their respective masses as $m_1$ and $m_2$, then the center of mass is found at a distance $x$ from $m_1$ where
$$x = d \frac{m_2}{m_1+m_2}$$
From this you can see that if $m_1 >> m_2$, the center of mass will be ...